Mathematical model for heat transfer in variable thickness fins for rocket engines
Journal Title: Challenges and Issues of Modern Science - Year 2024, Vol 3, Issue 1
Abstract
Purpose. This article aims to develop a mathematical model for a fin in the cooling system of liquid propellant rocket engines. The objective is to enable calculations for fins with arbitrary thickness variation. The developed mathematical model will be valuable and in demand for calculating heat transfer in the chambers of liquid propellant rocket engines produced using additive manufacturing technologies. Design / Methodology / Approach. The study employs theoretical research methods. The temperature distribution along the fin's height is derived by applying established heat transfer laws to the control volume under consideration. Findings. The study resulted in a mathematical model for a fin of variable thickness. The model was transformed into a dimensionless form to improve the accuracy of solving the equation numerically. Next, test calculations were performed using the proposed model. Theoretical Implications. This study builds upon existing models of heat transfer in fins and significantly extends the scope for further analysis by allowing for arbitrary variations in fin thickness. Practical Implications. The developed mathematical model can be applied to calculate the fin efficiency when designing cooling systems for combustion chambers, gas generators, and other components of liquid propellant rocket engines. Originality / Value. The article presents an original approach to calculating heat transfer in fins with variable thickness, enhancing its value for practical calculations. It can also serve as a reference for developing similar mathematical models. Research Limitations / Future Research. This study is focused on fins used in the cooling systems of liquid propellant rocket engine chambers. Therefore, the developed model is applicable only to fins where the longitudinal dimension significantly exceeds the transverse dimension. Future research could explore optimizing fin shapes to enhance heat transfer efficiency. Article Type. Applied Research.
Authors and Affiliations
Volodymyr Sliusariev, Valerii Bucharskyi
Keywords
Related Articles
- EP ID EP753027
- DOI https://purl.org/cims/2403.005
- Views 7
- Downloads 2
Методика вибору кроку дискретизації моделі в інформаційно-вимірювальних технологіях
Purpose. The main aim of the research is to produce recommendations in the form of a methodology that permits designers to establish a discretization step for a simulation model, when that model is being prepared to be i...
Методика супутникового моніторингу вирубування лісів за даними Sentinel-2A/B
Purpose. The main goal of the research was development and testing of the methodology of automated processing and analysis of multispectral satellite images of medium spatial resolution for the detection of deforestation...
Інтегрування нестаціонарних систем оптимального керування із післядією та нестабільним спектром
Purpose. We considered a non-stationary optimal control system with delay. Non-stationary optimal control systems are described by systems of differential or differential-algebraic equations. Variable coefficients do not...
Internet of Things (IoT) technologies: features, development prospects and potential threats
Purpose. The article aims to explore the characteristics, development prospects, and possible threats associated with Internet of Things (IoT) technologies. With IoT rapidly integrating into multiple industries, understa...
Вибір параметрів моделі руху ракети-носія для виведення космічних апаратів на кругові орбіти
Purpose. This study aims to justify the selection of parameters for a launch vehicle's pitch angle program during the insertion of spacecraft into circular orbits. The goal is to improve the accuracy and efficiency of th...